If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. True False

Mathematics

2 answers:

Ivahew [28]3 years ago

4 0

I believe the answer is True :)

Hope this helps and have a wonderful day

Inessa [10]3 years ago

4 0

I think true, because it would translate.

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

3 years ago

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.

sineoko [7]

Easy, find the equation of the line,

Using y=mx+b form:

(-1,3) m=2

3= 2(-1)+b

3= -2+b
+2 +2

5=b

y=2x+5. This is your equation.

Now, plug in the coordinates:

(-3,2)

2= 2(-3)+5
2= -6+5
2= -1

NO

(0,5)

5= 2(0)+5
5=5

YES

(1,5)

5= 2(1)+5
5= 2+5
5=7

NO

(1,4)

4= 2(1)+5
4= 2+5
4=7

NO.

Thus, B, is your answer.

5 0

3 years ago

I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the rad

Zielflug [23.3K]

Answer:

radius ≈ 10.77 cm

Step-by-step explanation:

The segment from the centre O to the chord is a perpendicular bisector.

Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )

The radius r is the hypotenuse.

Using Pythagoras' identity, then

r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

r = $\sqrt{116}$ ≈ 10.77 cm ( to 2 dec. places )

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3 years ago

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5x+y=0 use the intercepts to graph the equation

IRINA_888 [86]

Y-intercept: Let x = 0. Result: 5x=0, and x= 0. y-intercept is (0,0).
Similarly, x-int. is (0,0) (after going thru the same procedure: set y=0 and find x)

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3 years ago

I need help with this

Ad libitum [116K]

It’s 60 degrees so the first one

8 0

3 years ago

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